1999
DOI: 10.1121/1.427037
|View full text |Cite
|
Sign up to set email alerts
|

Wave motion in an isotropic elastic layer generated by a time-harmonic point load of arbitrary direction

Abstract: Wave motion in an infinite elastic layer due to the application of a time-harmonic point load of arbitrary direction, applied either internally or on one of the faces of the layer, is expressed as a sum of four expansions in Lamb-wave modes and horizontally polarized wave modes. The point load is decomposed into components normal and parallel to the plate faces. Each of these cases is decomposed into a symmetric and an antisymmetric loading case, relative to the mid-plane of the layer. The displacement solutio… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
1
1
1
1

Citation Types

0
41
0

Year Published

2002
2002
2018
2018

Publication Types

Select...
5
2
2

Relationship

0
9

Authors

Journals

citations
Cited by 93 publications
(41 citation statements)
references
References 11 publications
0
41
0
Order By: Relevance
“…However, the low attenuation properties of the S 0 and SH 0 modes mean that they cannot be efficiently excited or detected by transducers sensitive to out-of-plane surface motion. A point transducer that is sensitive to in-plane motion will excite and detect both the S 0 and SH 0 modes [22] but will not do so in an omnidirectional manner since, in transmission, the excitation force must be in a particular direction. The resulting field from such an element is shown schematically in Fig.…”
Section: Selection Of Transducer Elementmentioning
confidence: 99%
“…However, the low attenuation properties of the S 0 and SH 0 modes mean that they cannot be efficiently excited or detected by transducers sensitive to out-of-plane surface motion. A point transducer that is sensitive to in-plane motion will excite and detect both the S 0 and SH 0 modes [22] but will not do so in an omnidirectional manner since, in transmission, the excitation force must be in a particular direction. The resulting field from such an element is shown schematically in Fig.…”
Section: Selection Of Transducer Elementmentioning
confidence: 99%
“…Assume that the incident wave is a plane wave of an n-th SH guided mode propagating with the direction (− ෝ), and the backscattered SH guided wave with the same mode as the incident wave is observed at the point = || ෝ. Then the incident wave and the Green's function ‫ܩ‬ are written as [4] () = i ‫ܣ‬ cos( ݊πܺ ଷ 2ܾ ) ݁ ି୧ ෝ⋅ ഥ (5)…”
Section: Inverse Scattering Of Guided Waves For Shape Reconstruction mentioning
confidence: 99%
“…On the basis of the derivation for wave motion generated by a time-harmonic point load [Achenbach 1999], [Ditri 1994b], Wilcox was able to link the point excitations of circular-crested waves to the line excitations of straight-crested waves [Wilcox 2004], [Wilcox 2005]. From Eqs.…”
Section: Excitation Of Circular-crested Guided Waves By Point Sourcesmentioning
confidence: 99%